That's the difficulty that I am having.
The initial volume is:
V(initial) = (4/3)*pi*(80 cm)^3 = 2,144,660.58 cm^3
According to the formula (just dealing with the thermal compression for now):
∆V = V(final) - V(initial) = 3 * V(initial) * alpha * (Tf - Ti)
V(final) = V(initial) + 3 * V(initial) * alpha * (Tf - Ti)
After I plug in all the values, I get:
V(final) = 2,144,660.58 + 3(2,144,660.58)(3.071 x 10^-2)(-195.79 - 28.65)
V(final) = -42,201,895.70 cm^3
But the final volume can't be negative, so something isn't right.